Orders of Operations

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. The acronym PEMDAS is commonly used to remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

How do you evaluate an expression with parentheses?

Back

You should first perform the operations inside the parentheses before applying any other operations.

Front

What is the result of 6 ÷ 2?

Back

The result of 6 ÷ 2 is 3.

Front

What is the result of 7 + 6 ÷ 2?

Back

The result is 10, calculated as 7 + (6 ÷ 2) = 7 + 3.

Front

How do you evaluate an expression with exponents?

Back

You calculate the exponent first before performing any other operations.

Front

What is 4³?

Back

4³ is equal to 64, as it means 4 multiplied by itself three times (4 x 4 x 4).

Front

What is the first step in solving the expression 18 + [15 - (8 - 1)] x 3?

Back

The first step is to evaluate the expression inside the innermost parentheses: (8 - 1) = 7.

Front

What is the result of 15 - 7?

Back

The result of 15 - 7 is 8.

Front

What is the next step after evaluating 15 - 7 in the expression 18 + [15 - (8 - 1)] x 3?

Back

The next step is to evaluate the expression inside the brackets: 15 - 7 = 8.